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Finding the Fourth Proportional to 2,724.63, 4,086.94 and 993.25

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Solution

The fourth proportional to 2,724.63, 4,086.94 and 993.25 is: 1,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.63 : 4,086.94 = 993.25 : x
  2. Step 2: Convert to fraction form
    2,724.63/4,086.94 = 993.25/x
  3. Step 3: Cross multiply
    2,724.63x = 4,086.94 × 993.25
  4. Step 4: Simplify right side
    2,724.63x = 4,059,353.16
  5. Step 5: Solve for x
    x = 4,059,353.16/2,724.63
  6. Step 6: Final answer
    x = 1,489.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.